A farmer can buy two types of plant food, mix A and mix B. Each cubic yard of mix A contains 20 pounds of phosphoric acid, 30 pounds of nitrogen, and 5 pounds of potash. Each cubic yard of mix B contains 10 pounds of phosphoric acid, 30 pounds of nitrogen, and 10 pounds of potash. The minimum monthly requirements are 430 pounds of phosphoric acid, 960 pounds of nitrogen, and 220 pounds of potash. If mix A costs $20 per cubic yard and mix B costs $35 per cubic yard, how many cubic yards of each mix should the farmer blend to meet the minimum monthly requirements at a minimum cost? What is this cost? If mix A costs $20 per cubic yard and mix B costs $35 per cubic yard, the farmer should blend yd³ of mix A and yd³ of mix B to meet the minimum monthly requirements at a minimum cost.
A farmer can buy two types of plant food, mix A and mix B. Each cubic yard of mix A contains 20 pounds of phosphoric acid, 30 pounds of nitrogen, and 5 pounds of potash. Each cubic yard of mix B contains 10 pounds of phosphoric acid, 30 pounds of nitrogen, and 10 pounds of potash. The minimum monthly requirements are 430 pounds of phosphoric acid, 960 pounds of nitrogen, and 220 pounds of potash. If mix A costs $20 per cubic yard and mix B costs $35 per cubic yard, how many cubic yards of each mix should the farmer blend to meet the minimum monthly requirements at a minimum cost? What is this cost? If mix A costs $20 per cubic yard and mix B costs $35 per cubic yard, the farmer should blend yd³ of mix A and yd³ of mix B to meet the minimum monthly requirements at a minimum cost.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:A farmer can buy two types of plant food, mix A and mix B. Each cubic yard of mix A contains 20 pounds of
phosphoric acid, 30 pounds of nitrogen, and 5 pounds of potash. Each cubic yard of mix B contains 10 pounds of
phosphoric acid, 30 pounds of nitrogen, and 10 pounds of potash. The minimum monthly requirements are 430 pounds
of phosphoric acid, 960 pounds of nitrogen, and 220 pounds of potash. If mix A costs $20 per cubic yard and mix B costs
$35 per cubic yard, how many cubic yards of each mix should the farmer blend to meet the minimum monthly
requirements at a minimum cost? What is this cost?
If mix A costs $20 per cubic yard and mix B costs $35 per cubic yard, the farmer should blend
yd³ of mix B to meet the minimum monthly requirements at a minimum cost.
yd³ of mix A and
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